A CPT anomaly

1999/12/31 by F. R. Klinkhamer, F.R. Klinkhamer · 95 citations
Physics and Astronomy · #Anomaly (physics) #Field (mathematics) #Gauge (firearms) #Gauge anomaly #Gauge theory #High-Energy Particle Collisions Research #Manifold (fluid mechanics) #Mixed anomaly #Noncommutative and Quantum Gravity Theories #Quantum Chromodynamics and Particle Interactions #Spacetime #astro-ph #hep-ph #hep-th

paper · pdf · doi:10.1016/s0550-3213(00)00117-6

published in Nuclear Physics B 578(1-2), 277-289 (Elsevier BV) · LaTeX, 14 pages, v4: published version

arxiv created 2000/06/16 · openalex publication_date 2000/07/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We consider chiral gauge theories defined over a four-dimensional spacetime manifold with a Cartesian product structure for at least one compact spatial dimension. For a simple setup, we calculate the effective gauge field action by integrating out the chiral fermions, while maintaining gauge invariance. Due to a combination of infrared and ultraviolet effects, there appears a CPT-odd term in the effective gauge field action. This CPT anomaly could occur in chiral gauge theories relevant to elementary particle physics, provided the spacetime manifold has the appropriate topology. Two possible applications for cosmology are discussed.

Citations

• A PCAC puzzle: π0→γγ in the σ-model
• Global aspects of current algebra
• Observational Evidence against Birefringence over Cosmological Distances
• Characteristic Forms and Geometric Invariants
• Abelian chiral gauge theories on the lattice with exact gauge invariance
• Unity of All Elementary-Particle Forces
• Anomalous Ward Identities in Spinor Field Theories
• CPTviolation and the standard model
• Axial-Vector Vertex in Spinor Electrodynamics
• Conservation of Isotopic Spin and Isotopic Gauge Invariance

Cited by

• Nonlocal on-shell field redefinition for the standard-model extension
• Threshold analyses and Lorentz violation